Back to Search
Start Over
On classification of groups of order p4, where p is an odd prime.
- Source :
-
International Journal of Mathematics & Computer Science . 2022, Vol. 17 Issue 4, p1569-1593. 25p. - Publication Year :
- 2022
-
Abstract
- The classification of p-groups is a difficult task. It is also important because these groups have certain axioms and properties of which one can have further investigation for the other finite groups. In fact, there is no complete classification for p-groups, and the only complete classification has been done for certain cases of prime numbers or for certain nilpotency classes. In this article, we give a complete description of p-groups of order p4, where p is an odd prime. In addition, we discuss many other algebraic properties. Significantly, computer calculations were of an extensive use in this work. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE groups
*PRIME numbers
*SOLVABLE groups
*NILPOTENT groups
*CLASSIFICATION
Subjects
Details
- Language :
- English
- ISSN :
- 18140424
- Volume :
- 17
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics & Computer Science
- Publication Type :
- Academic Journal
- Accession number :
- 160158037